An Arithmetical Theory Of Certain Numerical Functions (1915) - Couverture souple

Bell, Eric Temple

Couverture souple

ISBN 10 : 1163927341 ISBN 13 : 9781163927342

Editeur : Kessinger Publishing, 2010

Synopsis

""An Arithmetical Theory of Certain Numerical Functions"" is a book written by Eric Temple Bell and published in 1915. The book focuses on the study of certain numerical functions and their properties using arithmetical methods. The functions discussed in the book include the divisor function, the sum-of-divisors function, the Euler phi function, the Mertens function, and the Liouville function. The book begins with an introduction to the theory of numbers and the basic concepts of arithmetical functions. The author then delves into the properties of the divisor function and its relation to prime numbers. The sum-of-divisors function is then discussed, followed by the Euler phi function and its applications to number theory. The latter part of the book focuses on the Mertens function and the Liouville function. The Mertens function is used to study the distribution of prime numbers, while the Liouville function is used to study the properties of quadratic residues. The book concludes with a discussion on the Riemann hypothesis and its relation to the functions studied in the book. Overall, ""An Arithmetical Theory of Certain Numerical Functions"" is a comprehensive and detailed study of various numerical functions and their applications to number theory. It is a valuable resource for mathematicians and researchers interested in the field of number theory.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

A propos du livre

Présentation de l'éditeur

Leopold Classic Library is delighted to publish this classic book as part of our extensive collection. As part of our on-going commitment to delivering value to the reader, we have also provided you with a link to a website, where you may download a digital version of this work for free. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. Whilst the books in this collection have not been hand curated, an aim of our publishing program is to facilitate rapid access to this vast reservoir of literature. As a result of this book being first published many decades ago, it may have occasional imperfections. These imperfections may include poor picture quality, blurred or missing text. While some of these imperfections may have appeared in the original work, others may have resulted from the scanning process that has been applied. However, our view is that this is a significant literary work, which deserves to be brought back into print after many decades. While some publishers have applied optical character recognition (OCR), this approach has its own drawbacks, which include formatting errors, misspelt words, or the presence of inappropriate characters. Our philosophy has been guided by a desire to provide the reader with an experience that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic book, and that the occasional imperfection that it might contain will not detract from the experience.

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Kessinger Publishing
• Date d'édition: 2010
• ISBN 10: 1163927341
• ISBN 13: 9781163927342
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 48
• Coordonnées du fabricant: non disponible